Oh good, lots of opinions, very little in the way of facts. Yes alu will break due to fatigue eventually, but for a well made frame designed to last that eventually is more than your lifetime. Warranties are largely a marketing thing, with more expensive brands generally having better ones – I'd certainly not take the length of a warranty as any indication of frame longevity (simply means they've made enough from you that they can afford to replace at their cost price).
As to the original frame – it's hard to tell without knowing lots more specific details about tubing sizes etc. There's certainly no particular reason why just because it's ti it won't fail due fatigue (nor for steel) – you can still fatigue ti by flexing within it's elastic limit. I'd be inclined to think though that it should survive a reasonable lifespan, simply because the design is sufficiently similar to other older soft-tails, and I've certainly never heard of a spate of those breaking on the chainstays. Not that it's worth worrying about – any failure should be relatively benign and easy to spot well before the whole thing lets go if it did ever fatigue there.